1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maria [59]
3 years ago
8

20 POINTS

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0

Answer:

equivalent

not equivalent

equivalent

not equivalent

-step explanation:

RUDIKE [14]3 years ago
4 0

<em>The correct expressions are as follows:</em>

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} Equivalent 343

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} Not Equivalent 49

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} Equivalent 7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} Not Equivalent 49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}

\texttt{ }

<h3>Further explanation</h3>

Let's recall following formula about Exponents and Surds:

\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }

\boxed { (a ^ b) ^ c = a ^ { b . c } }

\boxed {a ^ b \div a ^ c = a ^ { b - c } }

\boxed {\log a + \log b = \log (a \times b) }

\boxed {\log a - \log b = \log (a \div b) }

<em>Let us tackle the problem!</em>

\texttt{ }

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7^2)^{\frac{7}{5}}

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7)^{2\times \frac{7}{5}}

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}}

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5} + \frac{14}{5}}

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{15}{5}}

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{3}

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{343}

\texttt{ }

<em>From the results above, it can be concluded that the correct statements are:</em>

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} Equivalent 343

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} Not Equivalent 49

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} Equivalent 7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}

7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} Not Equivalent 49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}

\texttt{ }

<h3>Learn more</h3>
  • Coefficient of A Square Root : brainly.com/question/11337634
  • The Order of Operations : brainly.com/question/10821615
  • Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

You might be interested in
The product of this problem
Ganezh [65]

See my steps answer is -12

5 0
3 years ago
"if f(x)=x+1/x then the set of values for which f increases is"
Anettt [7]
The solution for this problem would be:
f'(x) = 1 - 1/x^2 = (x^2 - 1)/x^2 
is positive where |x| > 1 
hence (-inf, -1) and (1, inf) are the regions in which f' is positive and therefore f is increasing.
Therefore, the answer is (-infinity,-1] U [1,infinity).
4 0
2 years ago
Explain how to solve linear equations.
muminat

Answer:

that means you need to find the surface area, but not the part that is touching the ground or the bottom.

3 0
3 years ago
Last Math problem, I need super extra help solving this math problem. 3y-4-6-3x-7y+6x+1
pantera1 [17]

Answer:

3x-4y-9

Step-by-step explanation:

Combine like terms

5 0
2 years ago
The quotient of y and 6 is 29 find the value of y
atroni [7]
Y÷6=29
y=29 x 6
y=174

Hope I can help u
7 0
2 years ago
Other questions:
  • Solve the equation x+1&lt;5<br> #
    6·1 answer
  • Adam was making some brownies and cupcakes for his school fundraiser. If the brownies
    6·1 answer
  • An item on sale costs 95% of the original price. if the original price was $60 , what is the sale price?
    8·1 answer
  • Find the number of distinguishable permutations of the letters in the word supercalifragilisticexpialidocious?
    15·2 answers
  • How many inches of lumber are remaining?<br>​
    7·1 answer
  • Compute the directional derivative of the function g(x,y)= sin(π(x−5y)).
    6·1 answer
  • What are solutions of 3y&gt;2x when y=6? Can any one help with steps plz
    14·2 answers
  • Please hurry
    9·2 answers
  • Is this a bar above every interval? Explain why or why not.​
    8·1 answer
  • Which equation represents a population of 370 animals that increases at an annual rate of 11% ?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!